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optimiz-rs/examples/notebooks/14_mckean_vlasov.ipynb
T
ThotDjehuty dd51156174 docs(v2.0.0-alpha.4): enrich v2.0 notebooks with FR sandwich + real-world examples
Each of the eight v2.0 companion notebooks (10_bsde through
17_generative_calibration) now follows the mandatory pedagogical
sandwich structure:

  PRE markdown : theorem / model / pivot equation / what the cell verifies
  CODE cell    : labelled prints + at least one matplotlib figure
  POST markdown: expected result, graph reading, conclusion

Each notebook carries at least one concrete real-world example
(heat plate, inverted pendulum, opinion polarization, collective
decision, OU drift under Cauchy noise, mixture vs gaussian MMD, etc.)

Generator script: scripts/enrich_v2_notebooks.py
Doc plots refreshed via scripts/inject_doc_plots.py.
2026-05-12 16:07:42 +02:00

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{
"cells": [
{
"cell_type": "markdown",
"id": "bab453dd",
"metadata": {},
"source": [
"# 14 — Mean-reverting McKeanVlasov\n",
"\n",
"Doc page: [mckean_vlasov.rst](../../docs/source/algorithms/mckean_vlasov.rst).\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "ef5d758f",
"metadata": {
"execution": {
"iopub.execute_input": "2026-05-12T14:05:47.635814Z",
"iopub.status.busy": "2026-05-12T14:05:47.635518Z",
"iopub.status.idle": "2026-05-12T14:05:48.206290Z",
"shell.execute_reply": "2026-05-12T14:05:48.204534Z"
}
},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from optimizr import _core as opt\n",
"plt.rcParams['figure.figsize'] = (8.5, 4.5)\n",
"plt.rcParams['figure.dpi'] = 110\n",
"plt.rcParams['axes.grid'] = True\n",
"plt.rcParams['grid.alpha'] = 0.3\n"
]
},
{
"cell_type": "markdown",
"id": "e2a30664",
"metadata": {},
"source": [
"## Cellule 1 — Conservation de la moyenne\n",
"\n",
"**Théorème (McKean 1966).** Pour la dynamique de champ moyen\n",
"$$dX_t^i = \\theta\\,(\\bar X_t - X_t^i)\\,dt + \\sigma\\,dW_t^i,\n",
" \\qquad \\bar X_t = \\frac{1}{N}\\sum_j X_t^j,$$\n",
"la moyenne empirique est conservée en espérance,\n",
"$\\mathbb{E}[\\bar X_t] = \\bar X_0$.\n",
"\n",
"**Équation pivot.** $\\mathbb{E}[\\bar X_t] = \\bar X_0$ pour tout $t$.\n",
"\n",
"**Démonstration.** Sommer l'EDS sur $i$ : la dérive interne s'annule\n",
"(moyenne — individu). $\\square$\n",
"\n",
"**Ce que la cellule vérifie.** `mean_reverting_mckean_vlasov` préserve\n",
"la moyenne et concentre la variance.\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "abd6c348",
"metadata": {
"execution": {
"iopub.execute_input": "2026-05-12T14:05:48.211278Z",
"iopub.status.busy": "2026-05-12T14:05:48.210791Z",
"iopub.status.idle": "2026-05-12T14:05:48.950554Z",
"shell.execute_reply": "2026-05-12T14:05:48.949277Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"n_steps stocké : 201 (snapshots)\n",
"n_particles : 500\n",
"Moyenne initiale : -8.527e-17\n",
"Moyenne finale : -1.148e-02\n",
"Variance init : 0.335\n",
"Variance finale : 0.039\n"
]
},
{
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",
"text/plain": [
"<Figure size 1320x440 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N, T, n_steps = 500, 1.0, 200\n",
"theta, sigma = 1.5, 0.3\n",
"x0 = np.linspace(-1.0, 1.0, N).tolist() # mean = 0\n",
"\n",
"res = opt.mean_reverting_mckean_vlasov(x0, theta, sigma, n_steps, T, 42)\n",
"n_t = res['n_steps']\n",
"n_part = res['n_particles']\n",
"paths = np.array(res['paths_flat']).reshape(n_t, n_part)\n",
"ts = np.array(res['time_grid'])\n",
"\n",
"mean = paths.mean(axis=1)\n",
"var = paths.var(axis=1)\n",
"print(f\"n_steps stocké : {n_t} (snapshots)\")\n",
"print(f\"n_particles : {n_part}\")\n",
"print(f\"Moyenne initiale : {mean[0]:.3e}\")\n",
"print(f\"Moyenne finale : {mean[-1]:.3e}\")\n",
"print(f\"Variance init : {var[0]:.3f}\")\n",
"print(f\"Variance finale : {var[-1]:.3f}\")\n",
"\n",
"fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n",
"for i in range(0, n_part, 25):\n",
" axes[0].plot(ts, paths[:, i], alpha=0.4, lw=0.7)\n",
"axes[0].plot(ts, mean, 'k-', lw=2, label='moyenne empirique')\n",
"axes[0].set_xlabel('t'); axes[0].set_ylabel(r'$X_t^i$')\n",
"axes[0].set_title(\"Trajectoires McKeanVlasov\")\n",
"axes[0].legend()\n",
"axes[1].plot(ts, var, lw=2, color='C2')\n",
"axes[1].set_xlabel('t'); axes[1].set_ylabel(r'Var($X_t$)')\n",
"axes[1].set_title(\"Variance empirique\")\n",
"fig.tight_layout(); plt.show()\n"
]
},
{
"cell_type": "markdown",
"id": "9f7da718",
"metadata": {},
"source": [
"**Résultat attendu.** $|\\bar X_t - 0|$ très petit, variance qui\n",
"décroît vers une borne stationnaire.\n",
"\n",
"**Lecture du graphique.** Faisceau qui se contracte autour de la\n",
"moyenne ; variance qui diminue.\n",
"\n",
"**Conclusion.** Le solveur reproduit la concentration mean-field.\n"
]
},
{
"cell_type": "markdown",
"id": "e2f69220",
"metadata": {},
"source": [
"## Cellule 2 — Exemple concret : dynamique d'opinion polarisée\n",
"\n",
"**Modèle.** Modèle de DeGroot continu : opinions initialement\n",
"bimodales (deux groupes opposés). La dynamique de champ moyen\n",
"détruit progressivement la polarisation.\n",
"\n",
"**Équation pivot.**\n",
"$$dX_t^i = \\theta\\,(\\bar X_t - X_t^i)\\,dt + \\sigma\\,dW_t^i.$$\n",
"\n",
"**Ce que la cellule vérifie.** Une distribution initiale bimodale\n",
"fusionne en distribution unimodale centrée sur $\\bar X_0$.\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "a9afa9b3",
"metadata": {
"execution": {
"iopub.execute_input": "2026-05-12T14:05:48.954428Z",
"iopub.status.busy": "2026-05-12T14:05:48.954151Z",
"iopub.status.idle": "2026-05-12T14:05:49.953468Z",
"shell.execute_reply": "2026-05-12T14:05:49.952156Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Variance t=0 : 1.033\n",
"Variance t=mid : 0.025\n",
"Variance t=T : 0.007\n"
]
},
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 1430x418 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rng = np.random.default_rng(7)\n",
"N = 600\n",
"half = N // 2\n",
"x0 = np.concatenate([\n",
" rng.normal(-1.0, 0.2, half),\n",
" rng.normal(+1.0, 0.2, N - half),\n",
"]).tolist()\n",
"\n",
"res = opt.mean_reverting_mckean_vlasov(x0, theta=2.0, sigma=0.15,\n",
" n_steps=400, t_horizon=2.0, seed=11)\n",
"n_t = res['n_steps']\n",
"n_part = res['n_particles']\n",
"paths = np.array(res['paths_flat']).reshape(n_t, n_part)\n",
"\n",
"mid = n_t // 2\n",
"print(f\"Variance t=0 : {paths[0].var():.3f}\")\n",
"print(f\"Variance t=mid : {paths[mid].var():.3f}\")\n",
"print(f\"Variance t=T : {paths[-1].var():.3f}\")\n",
"\n",
"fig, axes = plt.subplots(1, 3, figsize=(13, 3.8))\n",
"for ax, idx, label in zip(axes, [0, mid, -1], ['t=0', 't=T/2', 't=T']):\n",
" ax.hist(paths[idx], bins=40, density=True,\n",
" color='C0', edgecolor='white', alpha=0.85)\n",
" ax.set_title(f\"Distribution {label}\")\n",
" ax.set_xlabel('opinion'); ax.set_ylabel('densité')\n",
" ax.set_xlim(-2, 2)\n",
"fig.suptitle(\"Convergence d'une population polarisée vers le consensus\",\n",
" fontsize=12, y=1.02)\n",
"fig.tight_layout(); plt.show()\n"
]
},
{
"cell_type": "markdown",
"id": "001ac849",
"metadata": {},
"source": [
"**Résultat attendu.** L'histogramme bimodal initial fusionne en un\n",
"pic unique centré à $0$.\n",
"\n",
"**Lecture du graphique.** Trois snapshots montrent la fusion\n",
"progressive des deux modes.\n",
"\n",
"**Conclusion.** L'attraction par la moyenne (mean-field) détruit la\n",
"polarisation initiale en temps fini — illustration du théorème du\n",
"consensus dans les dynamiques de DeGroot continues.\n"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "rhftlab",
"language": "python",
"name": "rhftlab"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
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